proportion (version 1.2.0)

ciTW: Wald-T method of CI estimation

Description

Wald-T method of CI estimation

Usage

ciTW(n, alp)

Arguments

n

- Number of trials

alp

- Alpha value (significance level required)

Value

• A dataframe with
• x
  - Number of successes (positive samples)
• LTW
  - Wald-T Lower limit
• UTW
  - Wald-T Upper Limit
• LABB
  - Wald-T Lower Abberation
• UABB
  - Wald-T Upper Abberation
• ZWI
  - Zero Width Interval

Details

An approximate method based on a t_approximation of the standardized point estimator for all x = 0, 1, 2 ..n; that is the point estimator divided by its estimated standard error. Essential boundary modification is when x = 0 or n, $$\hat{p}=\frac{(x+2)}{(n+4)}$$

References

[1] 1993 Vollset SE. Confidence intervals for a binomial proportion. Statistics in Medicine: 12; 809 - 824. [2] 1998 Agresti A and Coull BA. Approximate is better than "Exact" for interval estimation of binomial proportions. The American Statistician: 52; 119 - 126. [3] 1998 Newcombe RG. Two-sided confidence intervals for the single proportion: Comparison of seven methods. Statistics in Medicine: 17; 857 - 872. [4] 2001 Brown LD, Cai TT and DasGupta A. Interval estimation for a binomial proportion. Statistical Science: 16; 101 - 133. [5] 2002 Pan W. Approximate confidence intervals for one proportion and difference of two proportions Computational Statistics and Data Analysis 40, 128, 143-157. [6] 2008 Pires, A.M., Amado, C. Interval Estimators for a Binomial Proportion: Comparison of Twenty Methods. REVSTAT - Statistical Journal, 6, 165-197. [7] 2014 Martin Andres, A. and Alvarez Hernandez, M. Two-tailed asymptotic inferences for a proportion. Journal of Applied Statistics, 41, 7, 1516-1529

See Also

prop.test and binom.test for equivalent base Stats R functionality, binom.confint provides similar functionality for 11 methods, wald2ci which provides multiple functions for CI calculation , binom.blaker.limits which calculates Blaker CI which is not covered here and propCI which provides similar functionality. Other Basic methods of CI estimation: PlotciAS, PlotciAllg, PlotciAll, PlotciBA, PlotciEX, PlotciLR, PlotciLT, PlotciSC, PlotciTW, PlotciWD, ciAS, ciAll, ciBA, ciEX, ciLR, ciLT, ciSC, ciWD

Examples

n=5; alp=0.05
ciTW(n,alp)